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Finding the Fourth Proportional to 3,643.68, 5,028.71 and 2,072.01

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Solution

The fourth proportional to 3,643.68, 5,028.71 and 2,072.01 is: 2,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.68 : 5,028.71 = 2,072.01 : x
  2. Step 2: Convert to fraction form
    3,643.68/5,028.71 = 2,072.01/x
  3. Step 3: Cross multiply
    3,643.68x = 5,028.71 × 2,072.01
  4. Step 4: Simplify right side
    3,643.68x = 10,419,527.05
  5. Step 5: Solve for x
    x = 10,419,527.05/3,643.68
  6. Step 6: Final answer
    x = 2,859.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.